Donald Trump is being accused of having business ties to Russia. In reality, he'd love to have them -- but he hasn't scored there yet.

The head of Hillary Clinton's presidential campaign suggested the hack and subsequent leak of the emails was carried out by Russia to help Trump's campaign -- without backing that up with any evidence. President Obama fueled the rumor, saying: "Anything's possible."

While Trump and Russian strongman Vladimir Putin have traded compliments, that bromance has not blossomed into a Trump Tower in Moscow.

Here's what we know about Trump's business deals involving Russians:

Trump's trademarks in Russia

These are a sign of how eager Trump has been to expand into Russia. In 1996, he filed to register "Trump Tower." In the last decade, he's also laid legal claim to "Trump," "Trump International Hotel and Tower," "Trump Home" and "the Trump crest design." CNNMoney obtained the records from the Russian intellectual property law firm Sojuzpatent, which he hired to file the trademarks in that country.

Trump Tower in Moscow? Nope.

Russian statue in Manhattan? Nope.

In 1997, Trump agreed to have a Russian artist named Zurab Tsereteli build a massive, $40 million bronze Christopher Columbus -- larger than the Statue of Liberty. According to The New Yorker, the idea was to plop it down on Trump's development project in Manhattan's West Side. It ended up in Puerto Rico instead.

Trump Vodka in Russia? Meh.

This was a typical Trump deal. He put no money down, got to slap his name on a brand and claimed royalties. Drinks Americas Holdings(DKAM) actually made the stuff.

The company's former CEO told CNNMoney they didn't manage to make much headway into the Russian market. All they got was a single deal to sell 8,000 cases of vodka, a fraction of the 100,000 cases they sold worldwide.

The real value was the photo-op.

"If you can sell vodka made in the Netherlands to Russians in gold bottles with 'Trump' on them, and wealthy Russians think this is good vodka, this is a marketing coup," said Patrick Kenny, former CEO of Drinks Americas Holdings.

Trump Soho

A deal with a shady Russian immigrant

Then there's a Russian ex-con named Felix Sater. He was an executive at the Bayrock Group, which licensed the Trump name to build the Trump SoHo New York and Trump Tower Fort Lauderdale.

Sater pleaded guilty to racketeering in 1998.

In a 2013 deposition for a lawsuit, Trump distanced himself from Sater.

"If he were sitting in the room right now, I really wouldn't know what he looked like," Trump said.

He suggested this week he might accept Putin's annexation of Crimea from Ukraine. And on Thursday's episode of Fox and Friends he said that Putin is a "better leader" than Obama, "because Obama is not a leader so he's certainly doing a better job than Obama is, and that's all."

"Russia, if you're listening, I hope you find the 33,000 emails that are missing," he said at a press conference in Doral, Florida. Trump later said he was being sarcastic.

Trump's adviser

Trump's campaign manager also has a tangential tie to the Kremlin. Paul Manafort had advised Ukraine's ex-president Viktor Yanukovich when he was largely considered Russia's political puppet. Following a Ukraine revolt, Yanukovich fled to Russia.

CNN's Nelli Black, Sarah Jorgensen and David Shortell contributed to this story.

Correction: A previous version of this story said Sater pleaded guilty in 2009.